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4022224013000 = 235322917564297
BaseRepresentation
bin111010100001111111001…
…110111100011011001000
3112020112001201002112110202
4322201333032330123020
51011400003321404000
612315441215431332
7563411314000664
oct72417716743310
915215051075422
104022224013000
1113108a7661566
1254b64a825548
132323a919189b
14dc968b538a4
156e9620d7dd5
hex3a87f3bc6c8

4022224013000 has 64 divisors (see below), whose sum is σ = 9453105183600. Its totient is φ = 1601863795200.

The previous prime is 4022224012997. The next prime is 4022224013009. The reversal of 4022224013000 is 3104222204.

It can be written as a sum of positive squares in 8 ways, for example, as 969858614596 + 3052365398404 = 984814^2 + 1747102^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4022224013009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8553149 + ... + 9011148.

Almost surely, 24022224013000 is an apocalyptic number.

4022224013000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022224013000 is an abundant number, since it is smaller than the sum of its proper divisors (5430881170600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4022224013000 is a wasteful number, since it uses less digits than its factorization.

4022224013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17564547 (or 17564533 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4022224013000 its reverse (3104222204), we get a palindrome (4025328235204).

The spelling of 4022224013000 in words is "four trillion, twenty-two billion, two hundred twenty-four million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 229 250 458 500 916 1000 1145 1832 2290 4580 5725 9160 11450 22900 28625 45800 57250 114500 229000 17564297 35128594 70257188 87821485 140514376 175642970 351285940 439107425 702571880 878214850 1756429700 2195537125 3512859400 4022224013 4391074250 8044448026 8782148500 16088896052 17564297000 20111120065 32177792104 40222240130 80444480260 100555600325 160888960520 201111200650 402222401300 502778001625 804444802600 1005556003250 2011112006500 4022224013000